Olympus High Mathematics - Lecture Outlines

2.4a Average Rate of Change.pdf

2.4b Instantaneous Rate of Change.pdf

2.4b Instantaneous Rate of Change.pdf

2.1a Limits.pdf

2.1b Sandwich Theorem.pdf

2.2 Limits Involving Infinity.pdf

2.3 continuity.pdf

3.1 a Derivative as a function.pdf

3.1b Derivative as a function - numerically.pdf

3.2 Differentiability.pdf

3.3a Rules of Differentiation.pdf

3.3b Product & Quotient Rule.pdf

3.4a Position, Velocity, Acceleration.pdf

3.4 b Other Rates of Change.pdf

3.5 derivatives of trig functions.pdf

3.6 Chain Rule.pdf

3.6b Chain Rule.pdf

3.7 Implicit Differentiation.pdf

3.7b Implicit differentation.pdf

3.8 Derivatives of Inverse Trig Functions.pdf

3.9a Derivatives of Exponential Functions.pdf

3.9b Derivatives of Logarithms.pdf

4.1 extreme values of functions.pdf

4.2 Mean Value Theorem for Derivatives.pdf

4.3 connecting f ', f '' with the graph of f .pdf

4.4a Modeling and Optimization.pdf

4.4b Modeling and Optimization.pdf

4.4c Modeling and Optimization.pdf

4.5 Linearizations and differentials.pdf

4.6a Related Rates.pdf

4.6b related rates.pdf

5.1a Estimating with finite sums.pdf

5.1b Estimating with Finite Sums.pdf

5.2 Definite Integrals.pdf

5.3 Definite Integrals and Antiderivatives.pdf

5.3b Definite Integrals and Antiderivatives.pdf

5.4b Fundamental Theorem of Calculus.pdf

5.5 Trapezoidal Rule.pdf

6.1 Differential Equations and Slope Fields.pdf

6.1b Euler's Method.pdf

6.2a Antidifferentiation by Substitutiion.pdf

6.3 Integration by parts.pdf

6.4a Exponential Growth and Decay.pdf

6.4b Exponential Growth and Decay.pdf

6.5 Logistic Growth.pdf

7.1 Integral as net change.pdf

7.2 Areas in the plane.pdf

7.3a Volumes.pdf

7.3b Volumes.pdf

7.4 Lengths of Curves.pdf

7.5a Applications.pdf

7.5b Applications of Integrals.pdf

8.1 Sequences.pdf

8.2 L'hopital's Rule.pdf

8.3 Relative Rates of Growth.pdf

8.3 Relative Rates of Growth.pdf

8.4a Improper Integrals.pdf

8.4b Improper Integrals.pdf

9.1 power series.pdf

9.2a Taylor Series.pdf

9.2b Taylor Series.pdf

9.3 Taylors Theorem with Remainder.pdf

9.4a Tests for Convergence.pdf

9.4b Radius of Convergence.pdf

9.5a More Tests for Convergence.pdf

9.5b Alternating Series, Endpoints.pdf

10.1 parametric equations.pdf

10.2 Vectors.pdf

10.3 Polar Equations.pdf